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Finding the Fourth Proportional to 1,980.32, 2,732.40 and 1,194.40

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Solution

The fourth proportional to 1,980.32, 2,732.40 and 1,194.40 is: 1,648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.32 : 2,732.40 = 1,194.40 : x
  2. Step 2: Convert to fraction form
    1,980.32/2,732.40 = 1,194.40/x
  3. Step 3: Cross multiply
    1,980.32x = 2,732.40 × 1,194.40
  4. Step 4: Simplify right side
    1,980.32x = 3,263,578.56
  5. Step 5: Solve for x
    x = 3,263,578.56/1,980.32
  6. Step 6: Final answer
    x = 1,648.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.